A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions

DOI10.4171/ZAA/1002zbMath1108.30318MaRDI QIDQ5938149

Klaus Gürlebeck, Helmuth R. Malonek, Uwe Kaehler, Paula Cerejeiras

Publication date: 18 July 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (8)

Fourier multipliers and Dirac operators ⋮ Local distortion of M-conformal mappings ⋮ On some structural sets and a quaternionic (φ,ψ)-hyperholomorphic function theory ⋮ On the \(\Pi\)-operator in Clifford analysis ⋮ Quaternionic Beltrami-type equations and homeomorphic solutions ⋮ 3D deformations by means of monogenic functions ⋮ A short note on the local solvability of the quaternionic Beltrami equation ⋮ Weighted solution of the Dirac Beltrami equation with coefficient in VMO

Cites Work

• Quasiregular mappings in even dimensions
• On a spatial generalization of the complex \(\Pi\)-operator
• Über die Anwendung von singulären Integraloperatoren zur Konstruktion von Lösungen überbestimmter Systeme linearer partieller Differentialgleichungen in mehreren komplexen Veränderlichen
• A hypercomplex derivative of monogenic functsions in and its Applications
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